Strict monotonicity and unique continuation of the biharmonic operator

In this paper, we will show that the strict monotonicity of the eigenvalues of the biharmonic operator holds if and only if some unique continuation property is satisfied by the corresponding eigenfunctions.

Bibliographic Details
Main Authors: Najib Tsouli, Omar Chakrone, Mostafa Rahmani, Omar Darhouche
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2012-01-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/14502